Question

Multiple choice find the inverse function

Answer 1

Answer: Bottom left corner

`f^(-1)(x) = (-9x-7)/(x+6)\\\\`

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Work Shown:

`f(x) = (-6x-7)/(x+9)\\\\y = (-6x-7)/(x+9)\\\\x = (-6y-7)/(y+9)\\\\x(y+9) = -6y-7\\\\`

`xy+9x = -6y-7\\\\xy+6y = -7-9x\\\\y(x+6) = -9x-7\\\\y = (-9x-7)/(x+6)\\\\f^(-1)(x) = (-9x-7)/(x+6)\\\\`

Step-by-step explanation:

I swapped x and y. Then I solved for y to get the inverse.